The Kahan S.O.R. convergence bound for nonsingular and irreducible M- matrices

DOI10.1016/0024-3795(81)90304-9zbMath0467.15012OpenAlexW2016311744MaRDI QIDQ1155696

Michael Neumann

Publication date: 1981

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(81)90304-9

zbMATH Keywords

M-matrixblock Jacobi iteration matrixKahan convergence bound

Mathematics Subject Classification ID

Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (3)

On bounds for the convergence of the SSOR method forH-matrices ⋮ Neighborhoods of Dominant Convergence for the SSOR Method ⋮ On domains of superior convergence of the SSOR method to that of the SOR method

Cites Work

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• On the successive over-relaxation method for cyclic operators
• On the inverse M-matrix problem for (0,1)-matrices
• On the sharpness of some upper bounds for the spectral radii of S.O.R. iteration matrices
• Über reguläre Zerlegungen von Matrizen und einige Anwendungen
• Generalised consistent ordering and the optimum successive overrelaxation factor
• On generalizations of the theory of consistent orderings for successive overrelaxation methods
• Some aspects of consistent ordering
• Unzerlegbare, nicht negative Matrizen
• M-matrix characterization II: GeneralM-matrices
• Irreducible matrices^†

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